Following areas are of principal importance to my scientific research investigation

• PDE in geometric settings

• Infinite dimensional geometry of group of diffeomorphism and fluid flow 

• Diffeomorphsim Groups, Hydrodynamics and Relativity written by Jerrold E. Marsden, David Ebin, Arthur E. Fischer and related work of Marsden, Arnold, Alexander Schinrelman, Boris Khesin, Stephen Priston